Methods are disclosed which combine electrospinning and a sacrificial template, such as with additive manufacturing (AM), to produce fibrous microvascular scaffolds which are biodegradable, porous, and easily handled. In one example, a process for fabricating a fibrous network construct is disclosed. The method includes electrospinning a first layer of fibrous material; printing a micropatterned sacrificial template; transferring the micropatterned sacrificial template onto the electrospun fibers; electrospinning a second layer of fibrous biomaterial onto the micropatterned sacrificial template thereby encapsulating the template and generating a construct with two layers; and removing the sacrificial template, producing a fibrous construct with channels or microstructures formed therein. Also disclosed are fibrous constructs and scaffolds produced by the provided methods.